NDA2021MathematicsPermutation and CombinationActual
Consider the digits 3,5,7,9 . What is the number of 5 -digit numbers formed by these digits in which each of these four digits appears?
Options
- A240
- B180
- C120
- D60
Correct answer
A. 240
Step-by-step solution
Given digits are 3, 5, 7,9 . The number of 5 -digit number formed by these digits in which each of these four digits appears = ^4 C₁ 5! 2! =4 5 4 3 2! 2! =240